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Finding the Fourth Proportional to 1,117.85, 1,678.19 and 708.71

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Solution

The fourth proportional to 1,117.85, 1,678.19 and 708.71 is: 1,063.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.85 : 1,678.19 = 708.71 : x
  2. Step 2: Convert to fraction form
    1,117.85/1,678.19 = 708.71/x
  3. Step 3: Cross multiply
    1,117.85x = 1,678.19 × 708.71
  4. Step 4: Simplify right side
    1,117.85x = 1,189,338.10
  5. Step 5: Solve for x
    x = 1,189,338.10/1,117.85
  6. Step 6: Final answer
    x = 1,063.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.